1020849570 has 144 divisors (see below), whose sum is σ = 2945982312. Its totient is φ = 245007360.

The previous prime is 1020849569. The next prime is 1020849607. The reversal of 1020849570 is 759480201.

1020849570 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 84 + 9 + 570 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 379899081 + 640950489 = 19491^2 + 25317^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 622792 + ... + 624428.

Almost surely, 2^1020849570 is an apocalyptic number.

1020849570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020849570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472991156).

1020849570 is an abundant number, since it is smaller than the sum of its proper divisors (1925132742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020849570 is a wasteful number, since it uses less digits than its factorization.

1020849570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1020849570 is about 31950.7366112270. The cubic root of 1020849570 is about 1006.9021079689.

The spelling of 1020849570 in words is "one billion, twenty million, eight hundred forty-nine thousand, five hundred seventy".